
@misc{AMD_11,
   Author = {{Advanced Micro Devices Inc}},
   Title = {{AMD Accelerated Parallel Processing OpenCL}: Programming Guide},
   Year = {2011} }

@online{AMD_12,
   Author = {{Advanced Micro Devices Inc}},
   Title = {{AMD FirePro Professional Graphics}},
   Year = {2012},
   URL = {http://www.amd.com/uk/Documents/AMD-FirePro-Catalogue.pdf},
   URLDate = {2013-05-21},
   Note = {Accessed: 2013-05-21} }

@article{Bisson_12,
   Author = {Bisson, M. and Bernaschi, M. and Melchionna, S. and Succi, S. and Kaxiras, E.},
   Title = {{Multiscale Hemodynamics Using GPU Clusters}},
   Journal = {Commun. Comput. Phys.},
   Volume = {11},
   Pages = {48-64},
   Year = {2012} }

@phdthesis{Brodtkorb_10,
   Author = {Brodtkorb, A. R.},
   Title = {Scientific computing on heterogeneous architectures},
   School = {University of Oslo},
   Type = {{PhD}},
   Year = {2010} }

@article{Brodtkorb_10a,
   Author = {Brodtkorb, A. R. and Hagen, T. R. and Lie, K. and Natvig, J. R.},
   Title = {Simulation and visualization of the {Saint-Venant} system using {GPUs}},
   Journal = {Comput Vis Sci.},
   Volume = {13},
   Number = {7},
   Pages = {341-353},
   Year = {2010} }

@article{Brodtkorb_11,
   Author = {Brodtkorb, A. R. and Saetra, M. L. and Altinakar, M.},
   Title = {Efficient Shallow Water Simulations on {GPUs}: Implementation, Visualization, Verification and Validation},
   Journal = {Comput \& Fluids},
   Volume = {55},
   Pages = {1-12},
   Year = {2011} }

@article{Courant_67,
   Author = {Courant, R. and Friedrichs, F. and Lewy, H.},
   Title = {On the Partial Difference Equations of Mathematical Physics},
   Journal = {IBM J},
   Volume = {11},
   Number = {2},
   Pages = {215-234},
   Year = {1967} }

@article{Crespo_11,
    author = {Crespo, Alejandro C. AND Dominguez, Jose M. AND Barreiro, Anxo AND Gómez-Gesteira, Moncho AND Rogers, Benedict D.},
    journal = {PLoS ONE},
    publisher = {Public Library of Science},
    title = {{GPUs}, a New Tool of Acceleration in {CFD}: Efficiency and Reliability on {Smoothed Particle Hydrodynamics Methods}},
    year = {2011},
    volume = {6},
    number = {6} }

@article{Delis_09,
   Author = {Delis, A. I. and Mathioudakis, E. N.},
   Title = {A finite volume method parallelization for the simulation of free surface shallow water flows},
   Journal = {Math Comput Simul},
   Volume = {79},
   Number = {11},
   Pages = {3339-3359},
   Year = {2009} }

@techreport{EnvironmentAgency_12,
   Author = {{Environment Agency}},
   Title = {Greater working with natural processes in flood and coastal erosion risk management - A response to {Pitt Review} Recommendation 27},
   Institution = {Environment Agency},
   Year = {2012} }

@article{Erduran_02,
   Author = {Erduran, K. S. and Kutija, V. and Hewett, C. J. M.},
   Title = {Performance of finite volume solutions to the shallow water equations with shock-capturing schemes},
   Journal = {Int J for Numer Methods Fluids},
   Volume = {40},
   Number = {10},
   Pages = {1237-1273},
   Year = {2002} }

@inproceedings{Fang_11,
   Author = {Fang, J. and Varbanescu, A. L. and Sips, H.},
   Title = {A Comprehensive Performance Comparison of {CUDA} and {OpenCL}},
   BookTitle = {The 40th International Conference on Parallel Processing (ICPP'11)},
   Address= {Taipei, Taiwan},
   Pages = {216-225},
   Month = {2011 Sept 13-16},
   Year = {2011} }

@book{Farber_11,
   Author = {Farber, R.},
   Title = {{CUDA} Application Design and Development},
   Publisher = {Elsevier},
   Address = {Waltham, MA},
   Year = {2011} }

@article{French_03,
   Author = {French, J. R.},
   Title = {Airborne {LiDAR} in support of geomorphological and hydraulic modelling},
   Journal = {Earth Surf Process Landf},
   Volume = {28},
   Pages = {321-335},
   Year = {2003} }

@article{Godunov_59,
   Author = {Godunov, S. K.},
   Title = {A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics (in {Russian})},
   Journal = {Metematicheskii Sbornik},
   Volume = {47},
   Number = {3},
   Pages = {271-306},
   Year = {1959} }

@inproceedings{Goutal_99,
   Author = {Goutal, N.},
   Title = {The {Malpasset} dam failure {—} {An} overview and test case definition},
   BookTitle = {Proceedings of the 4th CADAM meeting},
   Address= {Zaragoza, Spain},
   Pages = {1-8},
   Month = {1999 Nov 18-19},
   Year = {1999} }

@inproceedings{Haile_05,
   Author = {Haile, A. T. and Rientjes, T. H. M.},
   Title = {Effects of {LiDAR} {DEM} resolution in flood modelling: A model sensitivity study for the city of {Tegucigalpa}, {Honduras}},
   BookTitle = {ISPRS WG III/3, III/4, V/3 Workshop "Laser scanning 2005"},
   Address= {Enschede, The Netherlands},
   Publisher = {International Society for Photogrammetry and Remote Sensing},
   Pages = {168-173},
   Month = {2005 Sept 12-14},
   Year = {2005} }

@inproceedings{Horvath_10,
   Author = {Horvath, Z. and Liebmann, M.},
   Title = {Performance of {CFD codes} on {CPU/GPU} clusters},
   BookTitle = {ICNAAM Numerical Analysis and Applied Mathematics, International Conference 2010},
   Editor = {Simos, T. E. and Psihoyios, G. and Tsiotouras, C.},
   Address= {Rhodes, Greece},
   Volume = {3},
   Month = {2010 Sept 19-25},
   Year = {2010} }

@online{Intel_12,
   Author = {{Intel Corporation}},
   Title = {Intel {Xeon} {Processor} {E5-2600} {Series}},
   Year = {2012},
   URL = {http://download.intel.com/support/processors/xeon/sb/xeon_E5-2600.pdf},
   URLDate = {2013-05-20},
   Note = {Accessed: 2013-05-20} }

@misc{KhronosOpenCL_08,
   Author = {{Khronos OpenCL Working Group}},
   Title = {{The OpenCL Specification v1.0}},
   Year = {2008} }

@misc{KhronosOpenCL_12,
   Author = {{Khronos OpenCL Working Group}},
   Title = {{The OpenCL Specification v1.2}},
   Year = {2012} }

@article{Kuo_11,
   Author = {Kuo, F. and Smith, M. R. and Hsieh, C. and Chou, C. and Wu, J.},
   Title = {{GPU} acceleration for general conservation equations and its application to several engineering problems},
   Journal = {Comput \& Fluids},
   Volume = {45},
   Pages = {147-154},
   Year = {2011} }

@article{Liang_10,
   Author = {Liang, Q.},
   Title = {Flood simulation using a well-balanced shallow flow model},
   Journal = {J Hydraul Eng},
   Volume = {136},
   Number = {9},
   Pages = {669-675},
   Year = {2010} }

@article{Liang_04,
   Author = {Liang, Q. and Borthwick, A. G. L. and Stelling, G.},
   Title = {Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids},
   Journal = {Int J Numer Methods Fluids},
   Volume = {46},
   Number = {2},
   Pages = {127-162},
   Year = {2004} }

@article{Liang_09,
   Author = {Liang, Q. and Marche, F.},
   Title = {Numerical resolution of well-balanced shallow water equations with complex source terms},
   Journal = {Adv Water Resour},
   Volume = {32},
   Number = {6},
   Pages = {873-884},
   Year = {2009} }

@article{Marks_00,
   Author = {Marks, K. and Bates, P.},
   Title = {Integration of high-resolution topographic data with floodplain flow models},
   Journal = {Hydrol Process},
   Volume = {14},
   Pages = {2109-2122},
   Year = {2000} }

@article{Murillo_10,
   Author = {Murillo, J. and Garc{\'i}a-Navarro, P.},
   Title = {Weak solutions for partial differential equations with source terms: Application to the shallow water equations},
   Journal = {J Comput Phys},
   Volume = {229},
   Number = {11},
   Pages = {4327-4368},
   Year = {2010} }

@techreport{Neelz_09,
   Author = {N{\'e}elz, S. and Pender, G.},
   Title = {Desktop review of {2D} hydraulic modelling packages},
   Institution = {Environment Agency},
   Number = {SC080035},
   Year = {2009} }

@article(Nickolls_10,
   Author = {Nickolls, J. and Dally, W.J.},
   Title = {The {GPU} Computing Era},
   Journal = {IEEE Micro},
   Volume = {30},
   Number = {2},
   Pages = {56-69},
   Year = {2010} }

@misc{NVIDIA_10,
   Author = {{NVIDIA Corporation}},
   Title = {{OpenCL} {Best Practices Guide v3.2}},
   Year = {2010} }

@misc{NVIDIA_10a,
   Author = {{NVIDIA Corporation}},
   Title = {{OpenCL} Programming Guide for the {CUDA} Architecture},
   Year = {2010} }

@online{NVIDIA_11,
   Author = {{NVIDIA Corporation}},
   Title = {{Tesla} {M-Class} {GPU} {Computing} {Modules}},
   Year = {2011},
   URL = {http://www.nvidia.com/docs/IO/105880/DS-Tesla-M-Class-Aug11.pdf},
   URLDate = {2013-05-20},
   Note = {Accessed: 2013-05-20} }

@article{Owens_07,
   Author = {Owens, J. D. AND Luebke, D. AND Godindaraju, N. AND Harris, M. AND Kr{\"u}ger, J. AND Lefohn, A. AND Purcell, T.J.},
   Title = {A Survey of General-Purpose Computation on Graphics Hardware},
   Journal = {Comp Graph Forum},
   Volume = {26},
   Number = {1},
   Pages = {80-113},
   Year = {2007} }

@article{Pau_06,
   Author = {Pau, J. C. AND Sanders, B. F.},
   Title = {Performance of Parallel Implementations of an Explicit Finite-Volume Shallow-Water Model},
   Journal = {ASCE J Comput Civ Eng},
   Volume = {20},
   Number = {2},
   Pages = {99-110},
   Year = {2006} }

@techreport{Pender_10,
   Author = {Pender, G. and N{\'e}elz, S.},
   Title = {Benchmarking of {2D} Hydraulic Modelling Packages},
   Institution = {Environment Agency},
   Number = {SC080035/SR2},
   Year = {2010} }

@article{Roe_86,
   Author = {Roe, P. L.},
   Title = {Characteristic-based schemes for the {Euler} equations},
   Journal = {Annu Rev Fluid Mech},
   Volume = {18},
   Pages = {337-65},
   Year = {1986} }

@article{Rossinelli_11,
   Author = {Rossinelli, D. and Hejazialhosseini, B. and Spampinato, D. G. and Koumoutsakos, P.},
   Title = {Multicore/Multi-{GPU} accelerated simulations of multiphase compressible flows using wavelet adaptive grids},
   Journal = {SIAM J Sci Comput},
   Volume = {33},
   Number = {2},
   Pages = {512-540},
   Year = {2011} }

@article{Saetra_12,
   Author = {Saetra, M. L. and Brodtkorb, A. R.},
   Title = {Shallow Water Simulations on Multiple {GPUs}},
   Journal = {Lect Notes Comput Sci},
   Volume = {7134},
   Pages = {55-66},
   Year = {2012} }

@article{Schive_11,
   Author = {Schive, H. and Zhang, U. and Chiueh, T.},
   Title = {Directionally unsplit hydrodynamic schemes with hybrid {MPI/OpenMP/GPU} parallelization in {AMR}},
   Journal = {Int J High Perform Comput Appl},
   Pages = {1-16},
   Month = {Nov},
   Year = {2011} }

@article{Singh_96,
   Author = {Singh, V. P. and Aravamuthan, V.},
   Title = {Errors of kinematic-wave and diffusion-wave approximations for steady-state overland flows},
   Journal = {CATENA},
   Volume = {27},
   Number = {3-4},
   Pages = {209-227},
   Year = {1996} }

@article{Suresh_00,
   Author = {Suresh, A.},
   Title = {Positivity-preserving schemes in multidimensions},
   Journal = {SIAM J Sci Comput},
   Volume = {22},
   Number = {4},
   Pages = {1184-1198},
   Year = {2000} }

@book{Toro_01,
   Author = {Toro, E. F.},
   Title = {Shock-capturing methods for free-surface shallow flows},
   Publisher = {John Wiley and Sons},
   Address = {Hoboken},
   Year = {2001} }

@article{Toro_94,
   Author = {Toro, E. F. and Spruce, M. and Speares, W.},
   Title = {Restoration of the contact surface in the {HLL} Riemann solver},
   Journal = {Shock Waves},
   Volume = {4},
   Number = {1},
   Pages = {25-34},
   Year = {1994} }

@article{vanLeer_84,
   Author = {van Leer, B.},
   Title = {On the Relation Between the Upwind-Differencing Schemes of {Godunov}, {Engquist-Osher} and {Roe}},
   Journal = {SIAM J Sci Stat Comput},
   Volume = {5},
   Number = {1},
   Pages = {1-20},
   Year = {1984} }

@article{Wang_10,
   Author = {Wang, P. and Abel, T. and Kaehler, R.},
   Title = {Adaptive mesh fluid simulations on {GPU}},
   Journal = {New Astron},
   Volume = {15},
   Number = {7},
   Pages = {581-589},
   Year = {2010} }

@article{Wilkinson_10,
   Author = {Wilkinson, M. E. and Quinn, P. F. and Welton, P.},
   Title = {Runoff management during the {September} 2008 floods in the {Belford} catchment, {Northumberland}},
   Journal = {J Flood Risk Manag},
   Volume = {3},
   Number = {4},
   Pages = {285-295},
   Year = {2010} }

@article{Xing_10,
   Author = {Xing, Y. and Zhang, X. and Shu, C.},
   Title = {Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations},
   Journal = {Adv Water Resour},
   Volume = {33},
   Pages = {1476-1493},
   Year = {2010} }

@article{Yee_06,
   Author = {Yee, H. C. and Sjogreen, B.},
   Title = {Efficient Low Dissipative High Order Schemes for Multiscale {MHD} Flows, {II}: Minimization of \(\nabla\cdot {B}\) Numerical Error},
   Journal = {J Sci Comput},
   Volume = {29},
   Number = {1},
   Pages = {115-164},
   Year = {2006} }

@article{Zoppou_03,
   Author = {Zoppou, C. and Roberts, S.},
   Title = {Explicit Schemes for Dam-Break Simulations},
   Journal = {J Hydraul Eng},
   Volume = {129},
   Number = {11},
   Pages = {11-34},
   Year = {2003} }


